We consider methods for large-scale unconstrained minimization based on finding an approximate minimizer of a quadratic function subject to a two-norm trust-region constraint. The Steihaug–Toint method uses the conjugate-gradient method to minimize the quadratic over a sequence of expanding subspaces until the iterates either converge to an interior point or cross the constraint boundary. Howev...

The protests that swept the Arab Middle East and North Africa (MENA) are expected to have influenced two key civic attitudes fundamental to well-functioning democracies: trust and tolerance. However, systematic comparative assessments of the general patterns and particularities in this region are rare. This contribution theorizes the uprisings’ impact and presents new society-level measurements...

Transaction cost function minimization is an important problem in finance. In this essay, we develop and apply a simulated annealing and smoothing method to this particular problem. We illustrate that this method is an improvement over using the trust-region method or simulated annealing algorithm alone. We will provide examples in different dimensions and using different parameter settings to ...

This paper proposes a novel real-time tracking algorithm by using the relative hist model within particle filter framework. The targetregion is roughly enclosed with a rectangle as usual, and color features are used to describe all the types of regions by calculating their color histograms. Inevitably, the background pixels are included in the target-region and the histogram of target-region ma...

In this paper, we compare and evaluate five contemporary, data-driven real-time 2D object tracking methods: the region tracker by Hager et al., the Hyperplane tracker, the CONDENSATION tracker, and the Mean Shift and Trust Region trackers. The first two are classical template based methods, while the latter three are from the more recently proposed class of histogram based trackers. All tracker...